I went through this self-reflection and came to the same conclusion. We discuss race, sex, and age, but we ignore classism and further alienate ourselves by assigning labels. Wealth divides us, and roughly 99% are the working class, but a fragmented society can't consolidate.

The Professional Managerial Class (PMC) is a term used to describe the people who reinforce identity yet ignore class. Our generation is more or less the PMC. We tend to undermine people's problems by saying, "first world problems" and support anti-racist corporate campaigns by buying products. Catherine Liu (a professor in California) wrote Virtue Hoarders: The Case Against the Professional Managerial Class, and if you listen to her in a podcast or interview, it's pretty refreshing.